The linear system [1.0001 2][x] = [3.0001] has solution (1, 1)'. Change A slightly to and consider the linear system 2]. 1 0.9999 2 [0.9999 2][*2] = [3.0001] Compute the new solution using five-digit rounding arithmetic, and compare the actual error to the estimate (7.24). Is A ill-conditioned?
The linear system [1.0001 2][x] = [3.0001] has solution (1, 1)'. Change A slightly to and consider the linear system 2]. 1 0.9999 2 [0.9999 2][*2] = [3.0001] Compute the new solution using five-digit rounding arithmetic, and compare the actual error to the estimate (7.24). Is A ill-conditioned?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![3.
The linear system
3
[10001 ][]-[001]
=
3.0001
2
2
has solution (1, 1)'. Change A slightly to
and consider the linear system
1
[0.9999 2].
[0.9999 ][*]-[3.0001]
=
Compute the new solution using five-digit rounding arithmetic, and compare the actual error
to the estimate (7.24). Is A ill-conditioned?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2e16564-42e1-470e-a742-cb613cfd5ee9%2F397aa111-0f5b-4243-adc9-a022d36c75a3%2Fjhqw9ud_processed.png&w=3840&q=75)
Transcribed Image Text:3.
The linear system
3
[10001 ][]-[001]
=
3.0001
2
2
has solution (1, 1)'. Change A slightly to
and consider the linear system
1
[0.9999 2].
[0.9999 ][*]-[3.0001]
=
Compute the new solution using five-digit rounding arithmetic, and compare the actual error
to the estimate (7.24). Is A ill-conditioned?
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